| 广义SRLW方程的Fourier谱方法 |
| |
| 引用本文： | 尚亚东.广义SRLW方程的Fourier谱方法[J].兰州大学学报(自然科学版),1999,35(4):17-24. |
| |
| 作者姓名： | 尚亚东 |
| |
| 作者单位： | 西安石油学院基础部!陕西西安710065 |
| |
| 摘 要： | 考虑了一类广义的对称正则长波方程的周期初值问题。对所论问题构造了不同于已有文献的半离散和全离散的Ｆｏｕｒｉｅｒ－Ｇａｌｅｒｋｉｎ谱格式，采用更精细的估计不等式，给出了近似解的收敛性证明和最佳误差估计，改进了已有文献的结果。
|
| 关 键 词： | 逼近解 误差估计 傅里叶谱法 SRLW方程 广义 |
The Fourier Spectral Methods for Generalized SRLW Equations |
| |
| Shang Yadong.The Fourier Spectral Methods for Generalized SRLW Equations[J].Journal of Lanzhou University(Natural Science),1999,35(4):17-24. |
| |
| Authors: | Shang Yadong |
| |
| Abstract: | The periodic initial value problem of a class of generalized symmetric regularized long wave equations is considered. The semi discrete and fully discrete Fourier Galerkin schemes different from those in former study for the problem are constructed. Moreover, by using a more precise estimate inequality, the convergence and the optimum error estimates for the approximate solution are given in theory. The results extend and improved some results in 3]. |
| |
| Keywords: | symmetric regularized long wave equation periodic initial value problem spectral method approximate solution error estimate |
| 本文献已被 CNKI 维普 等数据库收录！ |
